On fractional derivatives and primitives of periodic functions
Loading...
Identifiers
Publication date
Advisors
Tutors
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi
Metrics
Export
Abstract
We prove that the fractional derivative or the fractional primitive of a -periodic function cannot be a 𝑇-periodic function, for any period 𝑇, with the exception of the zero function
Description
Keywords
Bibliographic citation
Area, I., Losada, J. and Nieto, J., 2014. On Fractional Derivatives and Primitives of Periodic Functions. Abstract and Applied Analysis, 2014, pp.1-8
Relation
Has part
Has version
Is based on
Is part of
Is referenced by
Is version of
Requires
Publisher version
https://doi.org/10.1155/2014/392598Sponsors
The work of I. Area has been partially supported by the Ministerio de Economía y Competitividad of Spain under Grant MTM2012-38794-C02-01, cofinanced by the European Community fund FEDER. J. J. Nieto also acknowledges partial financial support by the Ministerio de Economía y Competitividad of Spain under Grant MTM2010-15314, cofinanced by the European Community fund FEDER.
Rights
Copyright © 2014 I. Area et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.